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Finding the Fourth Proportional to 1,705.08, 2,545.17 and 1,463.16

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Solution

The fourth proportional to 1,705.08, 2,545.17 and 1,463.16 is: 2,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.08 : 2,545.17 = 1,463.16 : x
  2. Step 2: Convert to fraction form
    1,705.08/2,545.17 = 1,463.16/x
  3. Step 3: Cross multiply
    1,705.08x = 2,545.17 × 1,463.16
  4. Step 4: Simplify right side
    1,705.08x = 3,723,990.94
  5. Step 5: Solve for x
    x = 3,723,990.94/1,705.08
  6. Step 6: Final answer
    x = 2,184.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.